Consider \(d=2\) . The degenerate Clifford algebra and its solutions were previously discussed in the context of tensionless superstrings [1]}. We will borrow some of the nomenclature here. Let us begin by considering the lower Carroll Clifford algebra in \(d=2\)  (REF ). This reduces to the matrix equations
\((\tilde{\gamma }_0)^2=0 ,\quad (\tilde{\gamma }_1)^2=I ,\quad \tilde{\gamma }_0\tilde{\gamma }_1+\tilde{\gamma }_1\tilde{\gamma }_0=0.\) 
